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Question

The mid-point of the line segment joining (4a, 2b - 3) and (-4, 3b) is (2, -2a). Find the values of a and b.


Solution

It is given that the mid-point of the line-segment joining (4a, 2b – 3) and (-4, 3b) is (2, -2a).
left parenthesis 2 comma negative 2 a right parenthesis equals open parentheses fraction numerator 4 a minus 4 over denominator 2 end fraction comma fraction numerator 2 b minus 3 plus 3 b over denominator 2 end fraction close parentheses 2 equals fraction numerator 4 a minus 4 over denominator 2 end fraction 4 a minus 4 equals 4 4 a equals 8 a equals 2 A l s o minus 2 a equals fraction numerator 2 b minus 3 plus 3 b over denominator 2 end fraction minus 2 cross times 2 equals fraction numerator 5 b minus 3 over denominator 2 end fraction 5 b minus 3 equals negative 8 5 b equals negative 5 b equals negative 1

Mathematics
Concise Mathematics
Standard X

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